| 一类一阶双滞量时滞方程零解渐近稳定的代数判据 |
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| 引用本文： | 任洪善.一类一阶双滞量时滞方程零解渐近稳定的代数判据[J].黑龙江大学自然科学学报,2005,22(2):267-276. |
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| 作者姓名： | 任洪善 |
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| 作者单位： | 黑龙江大学数学科学学院,黑龙江,哈尔滨,150080 |
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| 基金项目： | Supported by the Natural Science Foundation of Heilongiiang Province(A0207) |
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| 摘 要： | 考虑下列方程
x(t)-b/√2x(T)+bx(t-τ)+cx(t-2τ)=0,(*)其中b,c,т为常数,且т>O,bc≠0.建立了方程(*)零解渐近稳定的充分必要条件,这些条件易于验证和应用.
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| 关 键 词： | 渐近稳定 时滞方程 充要条件 特征方程 |
Algebraic criterion for asymptotic stability of a first order delay equation with two delays |
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| REN Hong-shan.Algebraic criterion for asymptotic stability of a first order delay equation with two delays[J].Journal of Natural Science of Heilongjiang University,2005,22(2):267-276. |
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| Authors: | REN Hong-shan |
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| Abstract: | Consider the following equation x(t)-b/√2x(T)+bx(t-τ)+cx(t-2τ)=0,(*) where b, c and T are constants with T >0 and bc≠O. A necessary and sufficient condition for zero solution of Eq. ( * ) to be asymptotically stable is established, which is easy to verify and apply. |
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| Keywords: | asymptotic stability delay equation necessary and sufficient condition characteristic equation |
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